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Finding the Fourth Proportional to 3,281.64, 4,922.58 and 1,090.40

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Solution

The fourth proportional to 3,281.64, 4,922.58 and 1,090.40 is: 1,635.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,281.64 : 4,922.58 = 1,090.40 : x
  2. Step 2: Convert to fraction form
    3,281.64/4,922.58 = 1,090.40/x
  3. Step 3: Cross multiply
    3,281.64x = 4,922.58 × 1,090.40
  4. Step 4: Simplify right side
    3,281.64x = 5,367,556.62
  5. Step 5: Solve for x
    x = 5,367,556.62/3,281.64
  6. Step 6: Final answer
    x = 1,635.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.